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raketka [301]
3 years ago
12

What is the midpoint of FB

Mathematics
1 answer:
VMariaS [17]3 years ago
3 0

Answer:

Point L as it is the midpoint of FB

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Answer:

\huge y - 5 =  - 1(x - 3) \\

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

y -  y_1 = m(x -  x_1)

From the question we have the final answer as

y - 5 =  - 1(x - 3)

Hope this helps you

6 0
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Answer:

Product = \frac{3}{5}ab

Step-by-step explanation:

Given

-\frac{3}{7}a

-\frac{21}{15}b

Required

The product

The product is:

Product = -\frac{3}{7}a * -\frac{21}{15}b'

Cancel out the negative signs

Product = \frac{3}{7}a * \frac{21}{15}b

Simplify fractions

Product = \frac{1}{7}a * \frac{21}{5}b

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Product = \frac{3}{5}ab

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3 years ago
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Can a remainder in a division problem equal the divisor
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Questions?
6 0
3 years ago
A ferry will safely accommodate 82 tons of passenger cars. Assume that the meanweight of a passenger car is 2 tons with standard
Shalnov [3]

Answer:

The probability that the maximum safe-weight will be exceeded is <u>0.0455 or 4.55%</u>.

Step-by-step explanation:

Given:

Maximum safe-weight of 37 cars = 82 tons

∴ Maximum safe-weight of 1 car (x) = 82 ÷ 37 = 2.22 tons (Unitary method)

Mean weight of 1 car (μ) = 2 tons

Standard deviation of 37 cars = 0.8 tons

So, standard deviation of 1 car is given as:

\sigma=\frac{0.8}{\sqrt{37}}=0.13

Probability that maximum safe-weight is exceeded, P(x > 2.22) = ?

The sample is normally distributed (Assume)

Now, let us determine the z-score of the mean weight.

The z-score is given as:

z=\frac{x-\mu}{\sigma}\\\\z=\frac{2.22-2}{0.13}\\\\z=\frac{0.22}{0.13}=1.69

Now, finding P(x > 2.22) is same as finding P(z > 1.69).

From the z-score table of normal distribution curve, the value of area under the curve for z < 1.69 is 0.9545.

But we need the area under the curve for z > 1.69.

So, we subtract from the total area. Total area is 1 or 100%.

So, P(z > 1.69) = 1 - P(z < 1.69)

P(z>1.69)=1-0.9545=0.0455\ or\ 4.55\%

Therefore, the probability that the maximum safe-weight will be exceeded is 0.0455 or 4.55%.

8 0
3 years ago
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